Calabi–Yau Three-folds of Type K (I): Classification

Sep 26, 2014
41 pages
Published in:
  • Int.Math.Res.Not. 2017 (2017) 21, 6654-6693
  • Published: Nov 1, 2017
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Abstract: (Oxford University Press)
Any Calabi–Yau three-fold |XX| with infinite fundamental group admits an étale Galois covering either by an abelian three-fold or by the product of a K3 surface and an elliptic curve. We call |XX| of type A in the former case and of type K in the latter case. In this article, we provide the full classification of Calabi–Yau three-folds of type K, based on Oguiso and Sakurai’s work [25]. Together with a refinement of their result on Calabi–Yau three-folds of type A, we finally complete the classification of Calabi–Yau three-folds with infinite fundamental group.
Note:
  • 29 pages, comments welcome
  • Calabi-Yau
  • abelian
  • surface
  • Galois